QUOTE(dreamer101 @ Aug 12 2006, 07:54 AM)
Your 6 month FD's answer is correct. But, your formula is wrong!!!
The interest should be 0.035 ( 3.5% ) * 6/12 = 0.0175
10K * 0.0175 = 175
You 1 month FD calculation is wrong due to compounding interest. You get interest on top of your interest after every month.
The interest should be ( 1 + 0.031 * 1/12) ^ 6 - 1= 0.0156
10K * 0.0156 = 156
As it should be. You should get pay more interest for having a longer term contract.
By the way, you should be doing one year FD. It has the best rate at 3.88%. You just buy 1 year FD every months. The minimum is 1k.
Dreamer
Hi Folks,
Let's make something very clear here. I am assuming you are putting money into FD for 6 months.
Case (A) -> you are putting money into 6 months FD
Case (B) -> You are putting money into 1 month FD and you are doing auto-renewal. Your 1 month FD roll into a new 1 month FD every month automatically with the interest. You are taking the money out after 6 months to make a fair comparison. I am ignoring the number of days in a month to make a simpler comparison.
Now, I will calculate very slowly.
At time 0, you have $10,000.
Atfer month 1, you have interest of 0.031/12 = 0.0258
With 10,000, you earn 10,000 * 0.0258 = $25.80
After month 1, you have $10,025.80. Now, you auto-renew into a new 1 month FD at 3.1% again. Your principal is at $10,025.80 now
After month 2, you earn interest of
$10,025.80 * 0.0258 = $25.87
After month 2, you have $10,025.80 + $25.87 = $10,051.67
And so on...
Let's call the principal as P
Annual interest rate as I
Number of months as N
The formula for amount after N months with one month FD is
P * ( 1 + I / N ) ^ N
Dreamer
This post has been edited by dreamer101: Aug 12 2006, 10:32 AM